\[ y''(x)=\frac {y(x)}{3 (x-2) x^2}+\frac {(6 x-1) y'(x)}{3 (x-2) x} \] ✓ Mathematica : cpu = 0.0447011 (sec), leaf count = 40
\[\left \{\left \{y(x)\to \frac {3}{935} c_2 x \left (18 x^2-102 x+187\right )+c_1 \sqrt [6]{x} (2-x)^{17/6}\right \}\right \}\] ✓ Maple : cpu = 0.055 (sec), leaf count = 27
\[ \left \{ y \left ( x \right ) ={\it \_C2}\, \left ( x-2 \right ) ^{{\frac {17}{6}}}\sqrt [6]{x}+18\,x \left ( {x}^{2}-{\frac {17\,x}{3}}+{\frac {187}{18}} \right ) {\it \_C1} \right \} \]